Adobe Flash Player crashes all browsers OSx 10.9.1 Mavericks! Firefox, Safari, Chrome, or NetNewsWire. Why?
Since google chrome embeds it's own version of flash - it doesn't use the system version. Rather than chasing three problems, why not uninstall the system flash, run updates on Google Chrome and see if the crash clears up?
It's also going to be more difficult for a good answer to be provided without details on your OS version, the version of the one browser you want to focus on first and perhaps a link to a web page that causes the crash.